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Simplifying (7x2 + 4x + 8) + (4x2 + -6x + 4) = 0 Reorder the terms: (8 + 4x + 7x2) + (4x2 + -6x + 4) = 0 Remove parenthesis around (8 + 4x + 7x2) 8 + 4x + 7x2 + (4x2 + -6x + 4) = 0 Reorder the terms: 8 + 4x + 7x2 + (4 + -6x + 4x2) = 0 Remove parenthesis around (4 + -6x + 4x2) 8 + 4x + 7x2 + 4 + -6x + 4x2 = 0 Reorder the terms: 8 + 4 + 4x + -6x + 7x2 + 4x2 = 0 Combine like terms: 8 + 4 = 12 12 + 4x + -6x + 7x2 + 4x2 = 0 Combine like terms: 4x + -6x = -2x 12 + -2x + 7x2 + 4x2 = 0 Combine like terms: 7x2 + 4x2 = 11x2 12 + -2x + 11x2 = 0 Solving 12 + -2x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.090909091 + -0.1818181818x + x2 = 0 Move the constant term to the right: Add '-1.090909091' to each side of the equation. 1.090909091 + -0.1818181818x + -1.090909091 + x2 = 0 + -1.090909091 Reorder the terms: 1.090909091 + -1.090909091 + -0.1818181818x + x2 = 0 + -1.090909091 Combine like terms: 1.090909091 + -1.090909091 = 0.000000000 0.000000000 + -0.1818181818x + x2 = 0 + -1.090909091 -0.1818181818x + x2 = 0 + -1.090909091 Combine like terms: 0 + -1.090909091 = -1.090909091 -0.1818181818x + x2 = -1.090909091 The x term is -0.1818181818x. Take half its coefficient (-0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. -0.1818181818x + 0.008264462808 + x2 = -1.090909091 + 0.008264462808 Reorder the terms: 0.008264462808 + -0.1818181818x + x2 = -1.090909091 + 0.008264462808 Combine like terms: -1.090909091 + 0.008264462808 = -1.082644628192 0.008264462808 + -0.1818181818x + x2 = -1.082644628192 Factor a perfect square on the left side: (x + -0.0909090909)(x + -0.0909090909) = -1.082644628192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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